Question

lcm of 24(x³-x²-6x) and 6(2x^4+5x³+2x²)​

Answer 1

Answer:

LCM=24x^2(x+2) (x-3) (2x+1)

Step-by-step explanation:

Factorizing

1) 24(x^3-x^2-6x) =24x(x^2-x-6) =24x(x+2) (x-3) =6x*4*(x+2) (x-3)

2) 6(2x^4+5x^3+2x^2) =6x^2(2x^2+5x+2) =6x^2(x+2) (2x+1)=6x*x*(x+2) (2x+1)

Common factors:6x, (x+2)

Remaining factors:4, x, (x-3) (2x+1)

LCM=24x^2(x+2) (x-3) (2x+1)